CYCLIC CODES OVER SOME SPECIAL RINGS

i, u1u2 − u2u1,..., ukuj − ujuk,...), and Fq[u, v]/ ui, vj, uv − vu, where Fq is a field with q ele-ments q = pr for some prime number p and r ∈ N − {0}. Codes over finite rings have been intensively studied in the last time, some of the earliest results of them are in [5], [18]. Ones of the most important finite rings in the coding theory are: the finite field Fq and the ring Zq, where q = p